Higher-Order Root-Finding Algorithms and Their Basins of Attraction
Joint Authors
Abdeljawad, Thabet
Naseem, Amir
Rehman, M. A.
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-11-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this paper, we proposed and analyzed three new root-finding algorithms for solving nonlinear equations in one variable.
We derive these algorithms with the help of variational iteration technique.
We discuss the convergence criteria of these newly developed algorithms.
The dominance of the proposed algorithms is illustrated by solving several test examples and comparing them with other well-known existing iterative methods in the literature.
In the end, we present the basins of attraction using some complex polynomials of different degrees to observe the fractal behavior and dynamical aspects of the proposed algorithms.
American Psychological Association (APA)
Naseem, Amir& Rehman, M. A.& Abdeljawad, Thabet. 2020. Higher-Order Root-Finding Algorithms and Their Basins of Attraction. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1188069
Modern Language Association (MLA)
Naseem, Amir…[et al.]. Higher-Order Root-Finding Algorithms and Their Basins of Attraction. Journal of Mathematics No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1188069
American Medical Association (AMA)
Naseem, Amir& Rehman, M. A.& Abdeljawad, Thabet. Higher-Order Root-Finding Algorithms and Their Basins of Attraction. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1188069
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188069